Enter your answer as a tri-linear inequality accurate to three decimal places.

answer < μ < answer

The patient's systolic blood pressure will be lowered by 48.709< m<56.091 at a 98% **confidence interval.**

What is a **confidence interval**?

The reduction in systolic **blood pressure **is, mean, x=52.4

Sample size, n=25

Standard deviation, s=8.5

We must determine the t value for a 90%** Confidence interva**l because the sigma is unknown.

From Inverse t **Distribution Calculator,** the **Confidence interval **is 0.98 and the degree of freedom is 25-1=24:

One-sided t-Score: 2.1715

We can now determine the **standard error** E:

E=2.1715(8.5/√25)=3.691

We can now create the **confidence interval **by:

x - E < m < x+ E

52.4-3.691< m<52.4+3.691

48.709< m <56.091

The patient's systolic blood pressure will be lowered by 48.709< m <56.091 at a 98% **confidence interval.**

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Write the quadratic equation that has roots √3 +1/2 and √3 −1/2 , if its coefficient with x^2 is equal to 9

The **quadratic equation** that has **roots** √3 + 1 / 2 and √3 - 1 / 2 and a **leading coefficient** of 9 is y = 9 · x² - 18√3 · x + 99 / 4.

How to find the quadratic equation associated with given real roots and leading coefficient

In this problem we must determine the **quadratic equation** such that its **roots** are √3 + 1 / 2 and √3 - 1 / 2 and whose **leading coefficient** is equal to 9. This can be found by substituting on factor form:

y = a · (x - r₁) · (x - r₂)

Where:

a - Leading coefficient.r₁, r₂ - RootsIf we know that r₁ = √3 + 1 / 2, r₂ = √3 - 1 / 2 and a = 9, then the quadratic equation is:

y = 9 · (x - √3 - 1 / 2) · (x - √3 + 1 / 2)

y = 9 · [x² - (√3 - 1 / 2) · x - (√3 + 1 / 2) · x + 3 - 1 / 4]

y = 9 · (x² - 2√3 · x + 11 / 4)

y = 9 · x² - 18√3 · x + 99 / 4

The **quadratic equation** is y = 9 · x² - 18√3 · x + 99 / 4.

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Write a rational expression to determine how many cubbies high the book shelf will be.

**Answer:**

[tex]\frac{x^2-8x-65}{x+1}[/tex]

**Explanation:**

The height of each small division is x + 1, and the total height is x² + 6x + 5. Then, the number of small division is the total height divided by the small division height.

Aliyah's school is selling tickets to the annual dance competition. On the first day of ticket sales

the school sold 8 senior citizen tickets and 15 child tickets for a total of $266. The school took in

$168 on the second day by selling 8 senior citizen tickets and 8 child tickets. What is the price

each of one senior citizen ticket and one child ticket?

Each senior citizen** ticket costs $7.**

One child's** ticket costs $14.**

**Describe algebra.**

Algebra is one of the **numerous **subfields of mathematics. The study of mathematical symbols and the rules for employing them in formulas is commonly referred to as algebra, which runs **across **almost all of **mathematics**.

S represents the senior **citizen **ticket **cost**.

C is the child's ticket cost.

**Price **is expressed as **USD **per ticket.

8S + 15C = 266

8S + 8C = 168

**Subtract **both **equations **now to get rid of S

**8S + 15C = 266**

**8S + 8C = 168**

———————————-

7C = 98

C = 98/7

C = $14

Changing the value of C in the first

**8S + 15(14) = 266**

8S + 210 = 266

8S = 266 - 210

8S = 56

S = 56 / 8

**S = $7**

Hence, **$7** is the price for **senior citizen**

And,** $14 **is the price for **child**

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The ------------- of a circle is a line segment that joins two points on the circumference of the circle and passes through the centre of the circle

**Solution**

The **Diameter** of a circle is a line segment that joins two points on the circumference of the circle and passes through the centre of the circle

Andre graphed the parent function f(x) and

1

a new line d(x). If d(x) will have a slope of 4

and a y-intercept of 9, write a function to

represent d(x) as a transformation of f(x).

**Answer:Its d(x)=1/4f(x)+9, mate**

**Step-by-step explanation:I just guessed and got it correct lol, also its "1/4" as a fraction **

My answer I correct or no please help

The product of 8 and a number k **increased **by 12 , **8K+12**

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Factor the following expression completely.x4 - 16

**Given:**

**Required:**

To factor the given expression.

**Explanation:**

Consider the given expression

[tex]x^4-16[/tex]Now

[tex]\begin{gathered} x^4-16=(x^2)^2-(4^)^2 \\ \\ =(x^2-4)(x^2+4) \\ \\ =(x^2-2^2)(x^2+4) \\ \\ =(x-2)(x+2)(x^2+4) \end{gathered}[/tex]**Final Answer:**

Find the mean of these numbers: 5, 11, 2, 12, 4, 2Need solution :D

**SOLUTION **

We want to find the mean of the numbers 5, 11, 2, 12, 4, 2

To do this, we add the numbers and divide by the total numbers.

The numbers are 6 in numbers, so the mean

[tex]\begin{gathered} mean=\frac{5+11+2+12+4+2}{6} \\ =\frac{36}{6} \\ =6 \end{gathered}[/tex]**Hence the answer is 6**

I have no clue how to get the different

The distance between the two given points X(-3,3) and Z(4,4) in the given **cartesian plane **is XZ = √50 = 7.07 units.

As per the question statement, we are supposed to calculate the distance between the two given points X(-3,3) and Z(4,4) in the given **cartesian plane. **We know that the **distance **between any two points in the plane is given by:

d=√((x2 – x1)² + (y2 – y1)²), where "d" is the **distance** between the points (x1,y1) and (x2,y2). Using this formula to find the **distance **between the two given points X(-3,3) and Z(4,4).

XZ = √((4 +3)² + (4 – 3)²)

XZ = √((7)²+ (1)²)

XZ = √(50)

XZ = 7.07 units

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A group of 60 students arerandom randomly selected to take a one minute fitness test using a jump rope 30 students are in first grade and 30 students are in 7th grade the following following status information is calculated using the number of jumps completed him one minute they sell me samples what interest rate can be used

we get that the final price of a 16-ounce smoothie is:

[tex]3.69+1.06+0.94-0.75=4.94[/tex]$4.94

The owner of a video store has determined that the profits P of the store are approximately given by

The profit of the store is represented by the quadratic formula:

[tex]P(x)=-x^2+90x+52[/tex]Where

P is the profit

x is the number of videos rented

The coefficients of the parabola are:

a= -1 (coefficient of the quadratic term)

b= 90 (coefficient of the x-term)

c=52 (constant)

The value of a is negative, which indicates that the parabola opens downwards and that its maximum value is represented by the vertex.

To determine the maximum profit, you have to determine the coordinates of the vertex.

First, calculate the x-coordinate of the vertex, to do so you have to use the following formula:

[tex]x_v=-\frac{b}{2a}[/tex]Replace it with the values of the coefficients a=-1 and b=90

[tex]\begin{gathered} x_v=-\frac{90}{2\cdot(-1)} \\ x_v=-\frac{90}{-2} \\ x_v=45 \end{gathered}[/tex]Second, replace x=45 in the equation to determine the y-coordinate of the vertex:

[tex]\begin{gathered} y_v=P(45) \\ y_v=-(45^2)+90\cdot45+52 \\ y_v=-2025+4050+52 \\ y_v=2077 \end{gathered}[/tex]The y-coordinate of the vertex represents the maximum profit.

So the maximum profit is $2077, the correct option is option A.

2. Which pair of numbers has the least common multiple with the greatest value?

4 and 8

4 and 9

5 and 7

6 and 8

**Answer:**

4 and 9

**Step-by-step explanation:**

**4 x 8 = 32**

**4 x 9 = 36**

**5 x 7 = 35**

**(6 x 4 = 24 and 8 x 3 = 24) **

HELPP Natasha is eating her backyard. The backyard is square in shape and has an area of 4,096 feet. What is a length of one side of Natasha's backyard?

We will determine how to evaluate the side length of a square given its area.

A square is a four sided 2D planar figure with all its sides at right angles and equal in magnitude as follows:

The side a square are all equal and will be denoted by a variable as follows:

[tex]\text{Side of a square = x}[/tex]We will now express the Area of the square in terms of its side length using the basic definition as follows:

[tex]\text{Area of square = Length}^2[/tex]We will now express the above in terms of the side length variable ( x ) as follows:

[tex]\text{Area of square = x}^2[/tex]We are given that Natasha's garden has the following area:

[tex]\text{Area of square = 4096 ft}^2[/tex]Now we will equate the result of area of a square with the side length ( x ) terms as follows:

[tex]4096=x^2[/tex]Evaluate(solve) the above the equation for the variable ( x ) by taking a square root on both sides of the equation as follows:

[tex]\begin{gathered} \sqrt{x^2}\text{ = }\sqrt{4096} \\ \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ }}\textcolor{#FF7968}{=}\text{\textcolor{#FF7968}{ }}\textcolor{#FF7968}{\pm}\text{\textcolor{#FF7968}{ 64}} \end{gathered}[/tex]For practical sense, the variable ( x ) denotes the magnitude of the side length of the square which can not be negative. Hence, we have only solution for the side length ( x ) as follows:

[tex]\textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 64 feet}}[/tex]

How much was the decrease dollar? How much was in his account the end of last year?

**Explanation **

We are given the following information:

• Amount at the beginning of an investment = $5500

,• Percent decrease = 24.6%

We want to determine the decreased amount in dollars and the amount in his account at the end of the year.

We can determine the decreased amount with the formula below:

[tex]Decreased\text{ }amount\text{ }=Percent\text{ }decrease\text{ }\times Amount[/tex]Therefore, the decreased amount can be calculated as:

[tex]\begin{gathered} Decreased\text{ }amount=24.6\%\times5500 \\ Decreased\text{ }amount=\frac{24.6}{100}\times5500=1353 \end{gathered}[/tex]**Hence, the decreased amount is $1353. **

At the end of last year, the amount left in his account can be calculated as follows:

[tex]undefined[/tex]**Hence, the year-end amount is ****$4147****.**

Sammy and Teemu were trying to describe parts of the expression 1/2bh + 4.

• Teemu said," is a coefficient."

Sammy said, "The entire expression is the sum of 4 terms."

Who is correct?

Choose 1 answer:

B

Only Teemu

Only Sammy

Neither student is correct.

Both students are correct.

option (c) is correct.

What is the expression?An **expression **is a set of **numbers** or **variables **combined using the operations + , – , × or ÷ . **Arithmetic expression** that contains only numbers and **mathematical operators** and **algebraic expression** that contains **variables**, **numbers **and **mathematical operators**.

Given that,

An expression

1/2bh + 4

There are two **terms **in the first term b and h are **variables **and its coefficient is [tex]\frac{1}{2}[/tex] .

In the second term only 4 is a constant term.

It means this **expression **has two.

(a) Teemu said, "[tex]\frac{-1}{2}[/tex] is a coefficient"

In the first term [tex]\frac{1}{2}[/tex] is a coefficient of b and h.

(b) Sammy said, "The entire **expression **is the sum of 4 terms."

No this** expression **has only two **terms**.

Hence, Neither student is correct.

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Answer: Only teemu

Step-by-step explanation: Because 1/2 is the numerical factor in a product involving variables and although sammy said it is the sum of 4 terms, there is 2 in the expression.

PLEASE HELP

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random, find the probability that it is yellow or green.

p(Yellow or not green)= ?

**Answer:**

I think the answer is 94/139

**Step-by-step explanation:**

**Answer:**

65/139

**Step-by-step explanation:**

Total number of candies - 139

No of yellow and green - 65

Thus probability - 65/139

NEED HELP ASAP

The graph compares the ages of 100 randomly selected visitors at a beach in January and in July. Select from the drop-down menu to correctly complete the statement. On average, visitors in January were Choose... years older than visitors in July.

From the given **box** and **whisker **plot, On average, visitors in January were 10 years older than visitors in July.

A **box **and** whisker plot** is a graph plot that indicates whether a distribution is **skewed** and whether there are potential unusual observations (outliers) in the data set.

Now, the way to interpret it is as follows;

The left side of the box is theNow, looking at the box and whisker plot for January and July, we can say that those in January are approximately 10 years older than those in July.

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A circle has area of 361pi cm2 what is the circumference in centimeters of the circle

The area of the circle is given as:

[tex]A=\pi r^2[/tex]plugging the value given we have that:

[tex]\begin{gathered} 361\pi=\pi r^2 \\ r^2=361 \\ r=\sqrt[]{361} \\ r=19 \end{gathered}[/tex]Now, the circumference is given as:

[tex]C=\pi d[/tex]where d is the diameter of the circle. The diameter is twice the raidues, hence the diameter is 38, **therefore the circumference is:**

**Therefore the circumference is 38pi**

I am stuck on what to do after graphing points A, B and C

Remember that the coordinates are written in the form **(x,y)**. Plot the points with the given coordinates: **A(1,6)**, **B(1,1)** and **C(5,1)**:

Draw a right triangle using the same measures for the legs in order to construct **ΔDEF**, as described below:

Hailey read 48 pages of a book this week. Blake read half as many as Hailey. How many pages did they read combined?A)24B)60C)72D)96

**Step 1**

From the question, Hailey reads 48 pages of a book

Blake reads half as many as Hailey.

Hence Blake reads;

[tex]Blake=\frac{48}{2}=24Pages[/tex]**The answer will be together they read;**

**Answer; Option C**

Para medir temperaturas podemos utilizar distintas escalas, las más utilizadas son las de grados centígrados y las de grados Fahrenheit, sabemos que 0 C es equivalente a 32F y 20C es equivalente a 68F, si conocemos que la relación entre ambas variables responde una función lineal

A) Encontrar la expresión de la función que permita transformar grados Fahrenheit a Centigrados

B) Encontrar la expresión inversa a la anterior

AYUDA PORFAVOR DOY LO QUE SEA POR ESTO

Using **linear functions**, it is found that:

**a)** The **expression **to convert from Fahrenheit to Celsius is: y = 5x/9 - 160/9.

**b)** The **inverse **expression is: y = 9x/5 + 32.

The **slope-intercept** representation of a linear function is given as follows:

y = mx + b

The **coefficients **of the function are described as follows:

For the conversion of Fahrenheit to Celsius, we have** two points**, as follows:

(32,0), (68, 20).

When the input increases by 36, the output increases by 20, hence the **slope **is calculated as follows:

m = 20/36 = 5/9

Hence:

y = 5/9x + b.

When x = 32, y = 0, hence the **intercept **b is calculated as follows:

0 = 5/9(32) + b

b = -5 x 32/9

b = -160/9

Hence the **equation **is:

y = 5/9x - 160/9.

To find the** inverse expression**, we exchange x and y and then isolate y, as follows:

x = 5/9y - 160/9.

5/9y = x + 160/9

5y = 9x + 160

y = 9x/5 + 32.

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The diagram represents a ramp in the shape of a right triangle and the lengths of two of its sides in feet. What is the length of the round in feet?

**Answer:**

61 feet

**Explanation: **

The length of the ramp is the hypotenuse of the right triangle formed.

To find the hypotenuse, use the **Pythagorean Theorem:**

Take the **square root **of both sides:

**The length of the ramp is 61 feet.**

use the function f=8v to find the value of f when v =8

EXPLANATION

Given the function f= 8v

And the v-value = 8

Replacing this on the equation:

f= 8*8 = 16

**Answer: f=16**

Which expression is equivalent to the given expression?2x^2 – 14r + 24A. (2x – 12) (x - 2)B. 2(x – 3)(x – 4)C. 2(x - 5)(x - 2)D. 2(x – 8) (x + 3)

Step 1: We have the following expression:

[tex]2x^2\text{ }-\text{ 14x + 24}[/tex]Step 2: Fon finding the equivalent expression, we have to factoring the polynomial, this way:

[tex]2(x^2\text{ - 7x + 12)}[/tex]Step 3: Now we have to find two integer numbers that the result of adding them is - 7 and the result of multipliying them is 12

First number: -4

Second number: -3

Therefore, we have now:

2 (x - 4) (x - 3)

Step 4

Using the idea of the Empirical Rule for a normal distribution, explain what percent of individuals would fall in the given range. iܒܫܡܗ Si The range of IQ scores from 80 to 120, when the mean IQ score is 100 and the standard deviation is 10.

**SOLUTION**

**Answer = 95.5%**

From this information given.

We have a mean value of 100 and a standard deviation value of 10

To obtain the range from 80 to 120.

This will be moving 2(S.D) to the left and 2(S.D) to the right of the mean.

From theory, values within 2S.D from the mean, represent 95.5% of the given data.

**Therefore, the percent of individuals that would fall in the given range is **

**95.5%**

find an equation parallel to y=-8 and passing through (-6, -7)

**Given:**

an equation is given as y = -8.

**Find:**

we have to find an equation parallel to the given equation and passing through (-6, -7).

**Explanation:**

Compare the given equation with y = mx + b,

we find that slope ,m = 0 ,

the equation of the line passing through (-6,-7) is

y - (-7) = m( x - (-6))

y + 7 = 0(x + 6)

y + 7 = 0

y = -7

**Therefore, y = -7 is an equation which is parallel to y = -8 and passing through ( -6, -7).**

The graph of both y = -8 and its parallel equation y = -7 which passes through (-6, -7) is given as below

Red line represents the equation y = -8

and blue line represents the equation y = -7 passes through the point (-6,-7).

**Therefore, the equation of the line parallel to y = -8 and passing through (-6,-7) is y = -7.**

pls help me with this ill give brainlist

y’= 2 (not sure if this is correct or not)

The points R, S, T and U all lie on the same line segment, in that order, such that the ratio of RS:ST:TURS:ST:TU is equal to 1:1:4.1:1:4. If RU=54,RU=54, find RS.RS.

The **segment **RS has a length of 9 units

From the question, the partition of the **line segment **is given as

RS : ST : TU = 1 : 1 : 4

Where the **endpoints **of the **line segments **are R and U

This means that the length RS can be calculated using the following equation

Length RS = Ratio of RS/Sum of the ratios x The length of RU

Substitute the known values in the above equation

So, we have

Length RS = 1/(1 + 1 + 4) x 54

Evaluate the sum

Length RS = 1/6 x 54

Evaluate the products

Length RS = 9

Hence, the **length **of the **segment **RS is 9 units

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Factor Sums and Differences of cubes 27x^3 - 64y^3

SOLUTION

The given question is

[tex]27x^3-64y^3[/tex]Simplify the expression

[tex]3^3x^3-4^3y^3=(3x)^3-(4y)^3[/tex]The difference of two cubes is given as

[tex]x^3-y^3=\mleft(x-y\mright)\mleft(x^2^{}+xy+y^2\mright)[/tex]Hence the given expression becomes

[tex](3x)^3-(4y)^3=(3x-4y)((3x)^2+3x(4y)+(4y)^2)[/tex]This gives

[tex](3x-4y)(9x^2+12xy+16y)[/tex]Together, Nora and Addison own 152 shares of stock. Nora has 4 less than three times Addison's amount. How many shares does each girl have?

The number of **shares **that Nora has is 113.

The number of **shares **that Addison has is 39.

Let x represent the amount of **shares **that **Addison **has

**Shares **that **Nora **has = 3x - 4

The sum of **shares **they both have : 3x - 4 + x = 152

In order to determine the value of x, take the following steps:

Combine similar terms together: 3x + x = 152 + 4

**Add **similar terms: 4x = 156

**Divide **both sides by 4 : x = 156/ 4 = 39

**Shares **that **Nora **has = 3(39) - 4

117 - 4 = 113

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What do these circuits all have in common?(A)(B)(C)(D)A. They all contain switchesB. They are all AC.They are all DCOC.D. They all contain resistors.
In a company's first year in operation, it made an annual profit of $111, 000. Theprofit of the company increased at a constant 24% per year each year. How muchtotal profit would the company make over the course of its first 24 years of operation,to the nearest whole number?
I need help with this question but no one is helping me! Can someone please help me
A researcher is testing the effect of a new cold and flu medication on reaction time. A sample of n=16 students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each students reaction time is measured. The scores for the sample averaged 220 milliseconds with a standard deviation of 20. Assuming that reaction time for students in the regular population averages 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Use a two-tailed single-sample (one-group) t-test with alpha = .05.What are the null and alternative hypotheses?
find the distance between the parallel lines. if necessary, round your answer to the nearest tenth. coordinate plane shows two lines. line y equals negative 3 x plus 1 and line y equals negative 3 x plus 4.
I need help with 1-4 please and thanks
i need helpppp plsssssss
Identify the vertex: y = (x+10)2+ 2 a. (10,2) b. (-10, -2) c. (-10,2) ) d. (10, -2)
Could you please set it up in the form of "systems of equations" meaning, set to different equations with "x" and "y" ??That is what they want me to do in class.
14. PR is the diameter of the circle with centre O. If mZPRQ = 65. What will be the measure ofmZPOQ?A. 65B. 90C. 130D. 150
What did the United States do when Columbia would not allow the U.S. to purchase the French lease in a timely manner?
How did Shayss Rebellion lead to calls for a new constitution?ResponsesA. The countrys leaders feared that the Articles of Confederation could not maintain order.B. It made farmers fearful of government and led them to call for scrapping the Articles of Confederation.C. It caused military officers to overthrow the Articles of Confederation and establish a new governmentD. It forced the countrys leaders to pay attention to the problems facing farmers.
A specialty food store received orders for 725 fruit baskets during the 7-day period leading up to a major holiday. According to the fruit basket recipe shown, how many strawberries will the specialty store need to fulfill all 725 orders? 1 fruit basket = 4 oranges (O) + 3 apples (A) + 2 pears (P) + 6 strawberries (S) 1 fruit basket = 4O + 3A + 2P +6S O4A3P2S6
6+5m
Hong has 16 one-dollar bills. he wants to give each of his 6 children the same number of bills. how many bills can he give each child? how many bills will hong have remaining?
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Lectura Read this advertisement and answer the questions with sentences. Write numbers as wordsCOLECCIN PRIMAVERA-VERANOAcaba de salir la moda de primavera-verano. Este ao mucha ropa viene en colores morado y azul, y en estilos1 muy cmodos, pero elegantes.Mujeres a la moda: Esta primavera pueden comprar diferentes estilos de faldas largas y trajes de pantaln y chaqueta para ir al trabajo, con los nuevos colores de este ao. En verano van a ver en las tiendas elegantes vestidos que hacen juego con zapatos y bolsas de muchos estilos. Y para ir a la playa, pantalones cortos y sandalias de todos los colores.Vestido morado: 250 pesos Falda larga: 150 pesos Sandalias de color rojo: 135 pesosHombres a la moda: Trajes elegantes en colores claros2: 300 pesos Cmodas camisetas para las vacaciones: 129 pesos1styles 2light1. Cmo es la moda de primavera-verano?___________________________________2. Cul es el precio de la falda larga ?____________________________________________3. En esta primavera, qu ropa para mujeres est de moda? _____________________________________________4. Qu venden para ir a la playa? _____________________________________________5. Qu ropa para hombres est a la moda? __________________________________________________
katie mows her own yard to save money. her neighbor jonah, however, hires a lawn service to mow his yard. one day, as katie is looking out of the window, jonah's lawn service drives up. to her surprise, they begin to mow her yard, not jonah's yard. katie thinks that is great, exchanges a wave with the workers, and keeps her mouth shut while they mow the yard. later, she gets a bill. she calls the owner of the lawn service and says that she does not have to pay because there was not a contract in place where she agreed to have her yard mowed. the lawn service says that she is liable for the full amount of its contract. discuss whether the lawn service is entitled to any recovery, and why or why not.
a winninmg team lifted a 3 kg trophy 2m up into the air what is the change in gpe of the trophy
mario's school is also planning a smaller rectangular are as a sitting spot. A scale drawing of the sitting sot is shown. redraw the sitting spot on the grid at a scale of i grid unit/4 feet.write and simplify the ratio of the new scale